Atkin-Lehner |
3+ 7- 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
33411a |
Isogeny class |
Conductor |
33411 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
6314679 = 34 · 72 · 37 · 43 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 0 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8484,297246] |
[a1,a2,a3,a4,a6] |
Generators |
[37:170:1] |
Generators of the group modulo torsion |
j |
67534997950518337/6314679 |
j-invariant |
L |
2.3088616926005 |
L(r)(E,1)/r! |
Ω |
1.8283118206239 |
Real period |
R |
1.2628380271655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100233j2 |
Quadratic twists by: -3 |